ABSTRACT
In [1], it has been shown that (1) is equivalent (in A) with the Volterra integral equation with two independent variables
(6)
Under the basic assumption
a(x, t)>m>0, (x, i) e A, (7)
it has been shown that (6) has a unique bounded solution in A. In other words, equation (1), with conditions (2), has a unique (classical) solution in A, bounded there.